Q144 / 170 · Manipal (MET) 2021 · Physics

Two capacitors of capacitance $2 \mu \mathrm{~F}$ and $6 \mu \mathrm{~F}$ are connected in series. A potential difference of 800 V is applied to the outer plates of the two capacitors system. The charge on each capacitor will be :

  • A
    1200 C
  • B
    6000 C
  • C
    $6000 \mu \mathrm{C}$
  • Correct answer
    D
    $1200 \mu \mathrm{C}$

Solution

$\frac{1}{C_S}=\frac{1}{2}+\frac{1}{6}=\frac{3+1}{6}=\frac{4}{6}=\frac{2}{3}$ $\therefore \quad C_S=\frac{3}{2} \mu \mathrm{~F}$ In combination charge on each capacitor in same. So, $Q=C_S V=\frac{3}{2} \times 800=1200 \mu \mathrm{C}$

Hence, the correct answer is option: 'D'.

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